Given u=(1,3) and v=(2,6), find 2v+u Options (5,15) (4,12) (3,9) (6,18)

Question

asked Jan 9, 2020 138k views

2 Answers

Jeffrey Knight · Answer 1 · 2020-01-16T02:21:37+0000

ANSWER

$2v + u = \binom{5}{15}$

EXPLANATION

It was given that:

$u = \binom{1}{3}$

and

$v = \binom{2}{6}$

$2v + u =2 \binom{2}{6} + \binom{1}{3}$

Perform the scalar multiplication to obtain:

$2v + u = \binom{4}{12} + \binom{1}{3}$

We add the corresponding components to get;

$2v + u = \binom{4 + 1}{12 + 3}$

$2v + u = \binom{5}{15}$

The first choice is correct.